Study of the $\psi (1S,2S)$ and ${\eta }_c(1S,2S)$ weak decays into $DM$

Abstract

Inspired by the recent measurements on the $J/\psi (1S)$ $\to$ $D_s\rho$, $D_u{K}^{\ast }$ weak decays at BESIII and the potential prospects of the charmonium at the high-luminosity heavy-flavor experiments, we study $\psi (1S,2S)$ and ${\eta }_c(1S,2S)$ weak decays into final states including one charmed meson plus one light meson, considering the QCD corrections to hadronic matrix elements with the QCD factorization. It is found that the Cabibbo favored $\psi (1S,2S)$ $\to$ $D_s^{-}{\rho }^{+}$, $D_s^{-}{\pi }^{+}$, ${\overline{D}}_u^0{\overline{K}}^{\ast 0}$ decays have branching ratios $\gtrsim$ $10^{-10}$, which might be accessible at the future experiments.

20 pages, revtex

References in corpus (5)

• Measurement of the differential cross-sections of inclusive, prompt and non-prompt J/psi production in proton-proton collisions at sqrt(s) = 7 TeV
• Measurement of forward $J/\psi$ production cross-sections in $pp$ collisions at $\sqrt{s}=13$ TeV
• Measurement of J/psi and psi(2S) prompt double-differential cross sections in pp collisions at sqrt(s) = 7 TeV
• The transition form factors for semi-leptonic weak decays of $J/\psi$ in QCD sum rules
• Search for the rare decays $J/\psi \to D_s^{-}{\rho }^{+}$ and $J/\psi \to \overline{D}{}^0\overline{K}{}^{\ast 0}$

Cited by in corpus (4)

• Weak Decays of $J/\psi$ and ${\rm Y}(1S)$
• Searching for the toponium ${\eta }_t$ with the ${\eta }_t$ $\to$ $W^{+}{W}^{-}$ decay
• Exclusive semileptonic and nonleptonic $J/\psi$ decays
• Study of the two-body nonleptonic $B_c(2S)$ weak decays with the QCD factorization approach